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Finding the Third Proportional to 219,408 and 517,416

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Solution

The third proportional to 219,408 and 517,416 is: 1,220,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,408 : 517,416 = 517,416 : x
  2. Step 2: Convert to fraction form
    219,408/517,416 = 517,416/x
  3. Step 3: Cross multiply
    219,408x = 517,416 × 517,416
  4. Step 4: Simplify right side
    219,408x = 267,719,317,056
  5. Step 5: Solve for x
    x = 267,719,317,056/219,408
  6. Step 6: Final answer
    x = 1,220,189.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.